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Finding the Third Proportional to 255,678 and 558,012

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Solution

The third proportional to 255,678 and 558,012 is: 1,217,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,678 : 558,012 = 558,012 : x
  2. Step 2: Convert to fraction form
    255,678/558,012 = 558,012/x
  3. Step 3: Cross multiply
    255,678x = 558,012 × 558,012
  4. Step 4: Simplify right side
    255,678x = 311,377,392,144
  5. Step 5: Solve for x
    x = 311,377,392,144/255,678
  6. Step 6: Final answer
    x = 1,217,849.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.